From here I see your zone is ok, but I can't telnet to port 25 of mail.satimis.com, so I think you should open the port in your router/fw if you want receive mail from the internet.
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I'll leave the problem unsolved for the time being. Finish building the mail server according to Falko's howto first to see what will happen there. The steps on building these 2 mail servers are quite similar.